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Finding the Fourth Proportional to 373.68, 514.71 and 347.10

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Solution

The fourth proportional to 373.68, 514.71 and 347.10 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.68 : 514.71 = 347.10 : x
  2. Step 2: Convert to fraction form
    373.68/514.71 = 347.10/x
  3. Step 3: Cross multiply
    373.68x = 514.71 × 347.10
  4. Step 4: Simplify right side
    373.68x = 178,655.84
  5. Step 5: Solve for x
    x = 178,655.84/373.68
  6. Step 6: Final answer
    x = 478.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.